Equivalence principle violation from large scale structure
We explore the interplay between the equivalence principle and a generalization of the Heisenberg uncertainty relations known as extended uncertainty principle, that comprises the effects of spacetime curvature at large distances. Specifically, we observe that, when the modified uncertainty relation...
| Main Author: | |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-10-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322004270 |
| _version_ | 1797998996016332800 |
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| author | Luciano Petruzziello |
| author_facet | Luciano Petruzziello |
| author_sort | Luciano Petruzziello |
| collection | DOAJ |
| description | We explore the interplay between the equivalence principle and a generalization of the Heisenberg uncertainty relations known as extended uncertainty principle, that comprises the effects of spacetime curvature at large distances. Specifically, we observe that, when the modified uncertainty relations hold, the weak formulation of the equivalence principle is violated, since the inertial mass of quantum systems becomes position-dependent whilst the gravitational mass is left untouched. To obtain the above result, spinor and scalar fields are separately analyzed by considering the non-relativistic limit of the Dirac and the Klein-Gordon equations in the presence of the extended uncertainty principle. In both scenarios, it is found that the ratio between the inertial and the gravitational mass is the same. |
| first_indexed | 2024-04-11T10:57:41Z |
| format | Article |
| id | doaj.art-94da728684a240478cc620e222a6d7a2 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-11T10:57:41Z |
| publishDate | 2022-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-94da728684a240478cc620e222a6d7a22022-12-22T04:28:44ZengElsevierPhysics Letters B0370-26932022-10-01833137293Equivalence principle violation from large scale structureLuciano Petruzziello0Dipartimento di Ingegneria Industriale, Università degli Studi di Salerno, Via Giovanni Paolo II, 132, I-84084 Fisciano (SA), Italy; INFN, Sezione di Napoli, Gruppo collegato di Salerno, ItalyWe explore the interplay between the equivalence principle and a generalization of the Heisenberg uncertainty relations known as extended uncertainty principle, that comprises the effects of spacetime curvature at large distances. Specifically, we observe that, when the modified uncertainty relations hold, the weak formulation of the equivalence principle is violated, since the inertial mass of quantum systems becomes position-dependent whilst the gravitational mass is left untouched. To obtain the above result, spinor and scalar fields are separately analyzed by considering the non-relativistic limit of the Dirac and the Klein-Gordon equations in the presence of the extended uncertainty principle. In both scenarios, it is found that the ratio between the inertial and the gravitational mass is the same.http://www.sciencedirect.com/science/article/pii/S0370269322004270 |
| spellingShingle | Luciano Petruzziello Equivalence principle violation from large scale structure Physics Letters B |
| title | Equivalence principle violation from large scale structure |
| title_full | Equivalence principle violation from large scale structure |
| title_fullStr | Equivalence principle violation from large scale structure |
| title_full_unstemmed | Equivalence principle violation from large scale structure |
| title_short | Equivalence principle violation from large scale structure |
| title_sort | equivalence principle violation from large scale structure |
| url | http://www.sciencedirect.com/science/article/pii/S0370269322004270 |
| work_keys_str_mv | AT lucianopetruzziello equivalenceprincipleviolationfromlargescalestructure |